5641409760 has 384 divisors, whose sum is σ = 21491785728. Its totient is φ = 1216512000.

The previous prime is 5641409749. The next prime is 5641409771. The reversal of 5641409760 is 679041465.

It is an interprime number because it is at equal distance from previous prime (5641409749) and next prime (5641409771).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4269900 + ... + 4271220.

It is an arithmetic number, because the mean of its divisors is an integer number (55968192).

Almost surely, 2^5641409760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5641409760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10745892864).

5641409760 is an abundant number, since it is smaller than the sum of its proper divisors (15850375968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5641409760 is a wasteful number, since it uses less digits than its factorization.

5641409760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5641409760 is about 75109.3187294360. The cubic root of 5641409760 is about 1780.1743885029.

The spelling of 5641409760 in words is "five billion, six hundred forty-one million, four hundred nine thousand, seven hundred sixty".